To solve the inequality \( 9.5x - 1.25 < 32 \), we will isolate \( x \).
-
Start by adding \( 1.25 \) to both sides of the inequality: \[ 9.5x < 32 + 1.25 \] \[ 9.5x < 33.25 \]
-
Next, divide both sides by \( 9.5 \): \[ x < \frac{33.25}{9.5} \]
-
Now, perform the division: \[ \frac{33.25}{9.5} = 3.5 \]
Thus, the solution to the inequality is: \[ x < 3.5 \]
In interval notation, this can be expressed as: \[ (-\infty, 3.5) \]
1 answer